Working Capital Calculation – Regression Analysis Method

The Regression analysis, a statistical tool, is used to estimate the working capital and its components. It establishes an equation relationship between revenue and working capital. It can also be called trend analysis because the relation is carved out based on past trend. Without going into technical details, this method says ‘Working Capital = Intercept + Slope * Revenue’.

The standard equation is stated as below:

y = a + bx

In our case, y represents the working capital because that is to be forecasted. x represents sales as it is the base for finding out the working capital. a & b are intercept and slope. A slope is the rate of change of working capital with one unit change in revenue. Intercept is the point where regression line and working capital axis meets. At the end of the statistical exercise with past revenue and working capital data, we will get an equation as explained above with real values of a and b. Then we will be able to find out y (working capital) for a given x (forecasted sales).

How to Calculate Working Capital using Regression Analysis with Formula and Example

Let us try to understand what we have to do for getting our estimates rather than understanding too much technical statistics. See the following table. The first column is a year, a second is sales and third is working capital. As we required the past data for future forecasting, here we have our past data. The fourth column is the product of sales and working capital and a fifth is the square of sales.

Sr. No.YearSalesWorking CapitalProduct of Sales & WCSquare of Sales (x) 
(x)(y) x*yx2
1200110055550010000
2200211064704012100
3200312180968014641
4200413070910016900
52005150901350022500
620061801202160032400
720071811001810032761
820081901402660036100
920092301503450052900
1020102501604000062500
Gross1016421029185620292802
TotalYears
DenotationnΣx Σy Σxy Σx2

Once this table is ready with n, Σx, Σy, Σxy and Σx2. We will solve the following equations.

Formula = Σy = na + bΣxFormula = Σxy = aΣx + bΣx2
Will replace the formula with values we haveWill replace the formula with values we have
1029 = 10a + 1642b185620 = 1642a + 292802b
Multiply by 1642Multiply by 10
=>  1689618 = 16420a + 2696164 ———– Eq. (1)=>  1856200 = 16420a + 2928020b ———– Eq. (2)
Subtract Eq. (1) from (2), we get,
166582 = 0 + 231856 b
=>  b = 166582/231856 = 0.7185
Now, replace b = 0.7185 in our old eq. 1029 = 10a + 1642b
We get, a = -15. 078

After all this exercise, we get the following equation,

Working Capital (x) = -15.078 + 0.7185 Sales (b)

Now, if the forecasted sales for the year 2015 are 300, the working capital as per this method would be 200.472. (Working Capital = -15.078 + 0.7185 * 300 = 200.472). In the similar fashion, all the components can be calculated.

Advantages and Disadvantages

The advantage of this method is that it is based on the regression analysis which is a proven method of forecasting. Bigger the amount of data we have, better are the chances of accuracy with this method. Its drawback is that it is not simple like percentage of sales method. The understanding and calculation, both are difficult and lengthy. 

Other Methods for Estimating the Working Capital Requirements

Percentage of Sales Method

Operating Cycle Method

Last updated on : June 18th, 2018

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One Response

  1. Arun kumar

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